Optimal Extensions for pth Power Factorable Operators

On Extensions of the Power Method for Normal Operators

In a recent work by Sidi and Bridger some old and some new extensions of the power method have been considered, and some of these extensions have been shown to produce estimates of several dominant eigenvalues of an arbitrary square matrix. In the present work we continue the analysis of two versions of one of these extensions, called the MPE extension, as they are applied to normal matrices. W...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

pth Power Lagrangian Method for Integer Programming

When does there exist an optimal generating Lagrangian multi-plier vector (that generates an optimal solution of an integer programming problem in a Lagrangian relaxation formulation), and in cases of nonexistence, can we produce the existence in some other equivalent representation space? Under what conditions does there exist an optimal primal-dual pair in integer programming? This paper cons...

GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF EXTENSIONS OF DEGREE p

For fields F of characteristic not p containing a primitive pth root of unity, we determine the Galois module structure of the group of pth-power classes of K for all cyclic extensions K/F of degree p. The foundation of the study of the maximal p-extensions of fields K containing a primitive pth root of unity is a group of the pth-power classes of the field: by Kummer theory this group describe...

GALOIS MODULE STRUCTURE OF pTH-POWER CLASSES OF CYCLIC EXTENSIONS OF DEGREE p

In the mid-1960s Borevič and Faddeev initiated the study of the Galois module structure of groups of pth-power classes of cyclic extensions K/F of pth-power degree. They determined the structure of these modules in the case when F is a local field. In this paper we determine these Galois modules for all base fields F .